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Finding the Fourth Proportional to 8,424.84, 12,629.88 and 3,491.40

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Solution

The fourth proportional to 8,424.84, 12,629.88 and 3,491.40 is: 5,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.84 : 12,629.88 = 3,491.40 : x
  2. Step 2: Convert to fraction form
    8,424.84/12,629.88 = 3,491.40/x
  3. Step 3: Cross multiply
    8,424.84x = 12,629.88 × 3,491.40
  4. Step 4: Simplify right side
    8,424.84x = 44,095,963.03
  5. Step 5: Solve for x
    x = 44,095,963.03/8,424.84
  6. Step 6: Final answer
    x = 5,234.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.